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Finding the Fourth Proportional to 7,151.80, 10,727.70 and 6,633.40

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Solution

The fourth proportional to 7,151.80, 10,727.70 and 6,633.40 is: 9,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.80 : 10,727.70 = 6,633.40 : x
  2. Step 2: Convert to fraction form
    7,151.80/10,727.70 = 6,633.40/x
  3. Step 3: Cross multiply
    7,151.80x = 10,727.70 × 6,633.40
  4. Step 4: Simplify right side
    7,151.80x = 71,161,125.18
  5. Step 5: Solve for x
    x = 71,161,125.18/7,151.80
  6. Step 6: Final answer
    x = 9,950.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.